Let R = \ beginpmatrix a & 3 & b \ c & 2 & d \ 0 & 5 & 0 endpmatrix : a,b,c,d ∈ \0,3,5,7,11,13,17,19\ \. Then the number of invertible matrices in R is

Let R = \ beginpmatrix a & 3 & b \ c & 2 & d \ 0 & 5 & 0… — JEE Advanced 2023 Mathematics PYQ

JEE Advanced 2023 · Paper 2 · numerical answer

Let

R = \left\{ \begin{pmatrix} a & 3 & b \\ c & 2 & d \\ 0 & 5 & 0 \end{pmatrix} : a,b,c,d \in \{0,3,5,7,11,13,17,19\} \right\}

. Then the number of invertible matrices in

R

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Answer: 3780

[JEE Advanced 2023 · Paper 2]

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